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Finding the Third Proportional to 138,958,106 and 296,999,488

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Solution

The third proportional to 138,958,106 and 296,999,488 is: 634,786,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,958,106 : 296,999,488 = 296,999,488 : x
  2. Step 2: Convert to fraction form
    138,958,106/296,999,488 = 296,999,488/x
  3. Step 3: Cross multiply
    138,958,106x = 296,999,488 × 296,999,488
  4. Step 4: Simplify right side
    138,958,106x = 88,208,695,872,262,144
  5. Step 5: Solve for x
    x = 88,208,695,872,262,144/138,958,106
  6. Step 6: Final answer
    x = 634,786,256.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.